Estimation of the boride Fe2B layer by fuzzy least square
Abstract
In the present study the growth kinetics of the boriding layer Fe2B in AISI 9840 steel was evaluated by a fuzzy system based on the fuzzy recursive least square algorithm. The Fe2B layer was experimentally formed on the surface of the material using the powder-pack boriding process at temperatures of 1123 – 1273 K with exposure times of 2, 4, 6 and 8 h. Gaussian membership functions with a center-average defuzzification, a product t-norm for the premise, and a product implication were proposed. The structure of the proposed fuzzy system is based on two membership functions for the input (time and temperature) and a delta function to predict the output given an input data-couple. The Fe2B layer thickness results estimated by the fuzzy system show an average error of less than 1% for the four temperatures and four treatment times. The layers of Fe2B were characterized by experimental techniques of: X-Ray Diffraction and Scanning Electron Microscopy.
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References
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